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Finding the Third Proportional to 1,875,748,415.63 and 3,994,096,368.38

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Solution

The third proportional to 1,875,748,415.63 and 3,994,096,368.38 is: 8,504,768,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875,748,415.63 : 3,994,096,368.38 = 3,994,096,368.38 : x
  2. Step 2: Convert to fraction form
    1,875,748,415.63/3,994,096,368.38 = 3,994,096,368.38/x
  3. Step 3: Cross multiply
    1,875,748,415.63x = 3,994,096,368.38 × 3,994,096,368.38
  4. Step 4: Simplify right side
    1,875,748,415.63x = 15,952,805,799,866,363,904
  5. Step 5: Solve for x
    x = 15,952,805,799,866,363,904/1,875,748,415.63
  6. Step 6: Final answer
    x = 8,504,768,372.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.